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Finding the Fourth Proportional to 100,158.90, 138,218.90 and 57,138.32

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Solution

The fourth proportional to 100,158.90, 138,218.90 and 57,138.32 is: 78,850.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,158.90 : 138,218.90 = 57,138.32 : x
  2. Step 2: Convert to fraction form
    100,158.90/138,218.90 = 57,138.32/x
  3. Step 3: Cross multiply
    100,158.90x = 138,218.90 × 57,138.32
  4. Step 4: Simplify right side
    100,158.90x = 7,897,595,738.25
  5. Step 5: Solve for x
    x = 7,897,595,738.25/100,158.90
  6. Step 6: Final answer
    x = 78,850.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.